Global classical solutions to equatorial shallow-water equations

Authors

  • Yue Fang Ocean Univ. of China, Qingdao, China
  • Kaiqiang Li Yantai Univ., Yantai, China
  • Xin Xu Ocean Univ. of China, Qingdao, China

DOI:

https://doi.org/10.58997/ejde.2023.62

Keywords:

Equatorial shallow-water equations; global classical solution; exponential stability

Abstract

In this article, we study the equatorial shallow-water equations with slip boundary condition in bounded domain. By exploring the dissipative structures of the system, we obtaining a priori estimates of the solution for small initial data. Then the existence of classical global solutions and exponential stability results are given.

For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/62/abstr.html

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Published

2023-09-21

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How to Cite

Global classical solutions to equatorial shallow-water equations. (2023). Electronic Journal of Differential Equations, 2023(01-87), No. 62, 1-16. https://doi.org/10.58997/ejde.2023.62